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Finding the Third Proportional to 384,831 and 603,676.13

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Solution

The third proportional to 384,831 and 603,676.13 is: 946,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,831 : 603,676.13 = 603,676.13 : x
  2. Step 2: Convert to fraction form
    384,831/603,676.13 = 603,676.13/x
  3. Step 3: Cross multiply
    384,831x = 603,676.13 × 603,676.13
  4. Step 4: Simplify right side
    384,831x = 364,424,863,895.02
  5. Step 5: Solve for x
    x = 364,424,863,895.02/384,831
  6. Step 6: Final answer
    x = 946,973.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.